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Modelling assumptions & SI units
36 questions
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A carpenter is making a
2
2
2
metre length of wooden handrail.
The cross-section of the handrail is symmetrical about the
x
x
x
-axis and is shown in the diagram below, where
x
x
x
and
y
y
y
are measured in centimetres.
O
x
y
The table below gives values of
y
y
y
for the lower half of the cross-section.
x
x
x
0
0
0
1.2
1.2
1.2
2.4
2.4
2.4
3.6
3.6
3.6
4.8
4.8
4.8
6.0
6.0
6.0
y
y
y
0
0
0
−
2.53
-2.53
−
2.53
−
3.01
-3.01
−
3.01
−
2.89
-2.89
−
2.89
−
2.20
-2.20
−
2.20
0
0
0
Use the trapezium rule, with the values shown in the table above, to find the best estimate for the volume of wood in the handrail.
(5 marks)
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Level 3
5 marks
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Two particles are connected by a light inextensible string passing over a pulley. Explain why the two particles have the same acceleration.
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Level 3
1 mark
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State the SI units used for
(a)
force,
(b)
mass and (c) acceleration.
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Level 3
3 marks
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A ball is kicked and its flight is modelled. State two modelling assumptions commonly made, and the effect of each.
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Level 3
2 marks
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